Given points are .

First, find the slope.

.

Substitute  7 for y₂,  3 for y₁,6 for x₂, and 1 for in slope formula.

                            (Product of two same signs is positive)

                            (Add: )

                                (Subtract: )

                                   (Cancel common signs)

                                        (Divide: )

You know the slope and a point on the line, so use point - slope form

with either given point to write in standard form Ax + By = C.

Choose .

        (Substitute 7 for y₁, 6 for x₁ and )

                      (Product of two same signs is positive)

                   (Apply distributive property: )

                       (Multiply: )

Apply subtraction property of equality:If a = b then a c = b c.

           (Subtract y from each side)

           (Apply commutative property: )

                 (Apply additive inverse property: )

                       (Apply additive identity property: )       (Subtract 12 from each side)

                 (Apply additive inverse property: )

                       (Apply additive identity property: )

                            (Subtract: )

To check the solution substitute  = in .

                           (Multiply: )

                                  (Subtract:  )

The equation satisfies the condition.

The standard form equation is  .